We use exceptional field theory as a tool to work out the full nonlinear reduction ansatz for the AdS 5 × S 5 compactification of IIB supergravity and its noncompact counterparts in which the sphere S 5 is replaced by the inhomogeneous hyperboloidal space H p;q . The resulting theories are the maximal 5D supergravities with gauge groups SOðp; qÞ. They are consistent truncations in the sense that every solution of 5D supergravity lifts to a solution of IIB supergravity. In particular, every stationary point and every holographic renormalization group flow of the scalar potentials for the compact and noncompact 5D gaugings directly lift to solutions of IIB supergravity.
Abstract:The background underlying the η-deformed AdS 5 × S 5 sigma-model is known to satisfy a generalization of the IIB supergravity equations. Their solutions are related by T-duality to solutions of type IIA supergravity with non-isometric linear dilaton. We show how the generalized IIB supergravity equations can be naturally obtained from exceptional field theory. Within this manifestly duality covariant formulation of maximal supergravity, the generalized IIB supergravity equations emerge upon imposing on the fields a simple Scherk-Schwarz ansatz which respects the section constraint.
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